Converting 46.29792 to a Fraction
Step-by-step explanation of how to convert 46.29792 to a fraction
Result
46.29792 =
144681
3125
Mixed number:
46
931
3125
Step 1: Identify the number of decimal places
The decimal 46.29792 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
46.29792 × 100000 = 4629792
Step 3: Write as a fraction
46.29792 =
4629792
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4629792 and 100000.
GCD(4629792, 100000) = 32
Divide both the numerator and denominator by the GCD:
4629792
100000
=
4629792 ÷ 32
100000 ÷ 32
=
144681
3125
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